Writing Equations
Slope
Slope-Intercept Form
Standard Form
Identify Slope and
y-intercept
100

What form of equations do we use for lines?

y = mx + b   or slope intercept form.

100

The slope of a line that goes through

(-1, 7) and (3, 9)

What is 1/2?

100

The equation 4x - 2y = 10 written in slope intercept form

What is y = 2x - 5?

100

What is the y-intercept of 7x + y = 6?

y-intercept = 6

100

y=3x + 7

m=3 and b=7

200

Write an equation for a vertical line through the point (-3, 3) .

x = -3

200

The slope of a line that passes through 

(0.5, -2) and (5.5, 1)

What is 3/5?

200

The slope and y-intercept of the line of the equation y = 50 - 3x?

What is m = -3 and b = 50?

200

What is 10x - 5y = -8 written in slope-intercept form?

y = 2x + 8/5

200

y=-4x - 5

m=-4 and b=-5

300

Write an equation for a line with the following slope and points.

 m = 2/3   and (0, -2),  (3, 0)

y = 2/3x - 2

300

The slope of a line with the equation y = -6x - 8

What is -6?

300

The equation of a line (in slope-intercept form) that passes through (0, 4) and (3, 10)

What is y = 6x + 4?

300

What is the slope of 70x - 10y = 9?

slope = 7

300

y=x

m=1 and b=0

400

Write an equation for a line with the following two points. Find the slope and y intercept. 

(15, -10) (5, 10)

slope = -2 y intercept = 20

y = -2x + 20

400

The slope of a line of the equation 4x + 3y = 8

What is -4/3?

400

The equation of a line (in slope-intercept form) that passes through (-3, -2) and (-6, -5)

What is y = x + 1?

400

What is the y-intecept of 45x + 5y = 4?

b = 4/5

400

3x + y = 1

m=-3 and b=1

500

The amount y (in dollars) of money you have left after playing x games at a carnival is

 y = -0.75x + 10.

How much money do you have after playing eight games? Graph the equation and show your explanation.

y = -0.75(8) + 10 

y = -6 + 10 

y = 4 

$4 left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.

500

The slope of a line that passes through 

(5, 4) and (5, -8)

What is undefined?

500

The equation y - 4 = 3(x + 2) written in slope-intercept form

What is y = 3x + 10?

500

What is slope-intercept form for 10x - y = -10?

y = 10x + 10

500

-5x + y = -7

m=5 and b=-7